In this paper, we use parametrically excited pendulums as a model of a tuning fork microgyroscope to explore the feasibility of exciting the symmetric mode of two coupled oscillators. For the tuning fork microgyroscope to work, the two proof masses must be driven into oscillations which are opposite in directions. We study the nonlinear dynamics of the coupled pendulums under parametric excitations. The results show that there is a range of parameters for which pendulum responses are opposite in directions. Moreover, this phase relationship persists even in the presence of structural asymmetry, which is often unavoidable in device fabrication. Our study indicates the feasibility of using the parametric excitation to replace electrostatic comb-drives in current microgyroscope designs. The advantage of the parametric excitation is that it can be externalized. The fabrication is thus simplified.
Proportional-Integral Synchronisation for Non-identical Wireless Packet-Coupled Oscillators with Delays
